E and F are sets of real numbers defined as follows. E={v | v ≤ 2} F={v | v > 6} Write E ∪ F and E ∩ F using interval notation. If the set is empty, write ∅. E ∪ F = ? E ∩ F = ?

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Answer:

Below.

Step-by-step explanation:

E ∪ F = (-∞, -2] or (6, ∞)

E ∩ F =  ∅.

The union of the sets is E ∪ F = (-∞, -2] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

What is set?

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have:

E and F are sets of real numbers defined as follows. E={v | v ≤ 2} F={v | v > 6}

E ∪ F = (-∞, -2] or (6, ∞)

E ∩ F =  ∅ (null sets)

Thus, the union of the sets is E ∪ F = (-∞, -2] or (6, ∞) and the intersection of the sets E ∩ F =  ∅ (null sets) is in interval notation.

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